Skip to main content
SpringerLink
Log in

Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schrödinger Equation

  • Published:
Communications in Mathematical Physics Aims and scope Submit manuscript

Abstract:

Correlation functions of exactly solvable models can be described by differential equations [1]. In this paper we show that for the non-free fermionic case, differential equations should be replaced by integro-differential equations. We derive an integro-differential equation, which describes a time and temperature dependent correlation function of the penetrable Bose gas. The integro-differential equation turns out to be the continuum generalization of the classical nonlinear Schrödinger equation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606, Japan.¶E-mail: kojima@kurims.kyoto-u.ac.jp, , , , , , JP

    T. Kojima

  2. Institute for Theoretical Physics, State University of New York at Stony Brook, Stony Brook, NY 11794-3840, USA. E-mail: korepin@insti.physics.sunysb.edu, , , , , , US

    V. E. Korepin

  3. Steklov Mathematical Institute, Gubkina 8, Moscow 117966, Russia. E-mail: nslavnov@class.mi.ras.ru, , , , , , RU

    N. A. Slavnov

Authors
  1. T. Kojima
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. E. Korepin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. A. Slavnov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Received: 15 January 1997 / Accepted: 21 March 1997

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kojima, T., Korepin, V. & Slavnov, N. Completely Integrable Equation for the Quantum Correlation Function of Nonlinear Schrödinger Equation . Comm Math Phys 189, 709–728 (1997). https://doi.org/10.1007/s002200050226

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s002200050226

Keywords

Search

Navigation